478896 has 40 divisors (see below), whose sum is σ = 1351104. Its totient is φ = 144960.

The previous prime is 478879. The next prime is 478897. The reversal of 478896 is 698874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (478897) by changing a digit.

478896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 981.

2⁴⁷⁸⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675552).

478896 is an abundant number, since it is smaller than the sum of its proper divisors (872208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478896 is a wasteful number, since it uses less digits than its factorization.

478896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 478896 is about 692.0231210010. The cubic root of 478896 is about 78.2372787725.

It can be divided in two parts, 47889 and 6, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 478896 in words is "four hundred seventy-eight thousand, eight hundred ninety-six".